Bounded solutions of some second order nonlinear differential equations

被引：15

作者：

Mawhin, J ^{[1
]}

Ward, JR

机构：

[1] Univ Catholique Louvain, Inst Math, B-1348 Louvain, Belgium

[2] Univ Alabama, Dept Math, Birmingham, AL 35294 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1998年 / 58卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0024610798006784

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Landesman-Lazer type existence conditions for the solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equations of the form x " + cx' + f(t, x) = 0. The proofs use upper and lower solutions techniques together with some limiting arguments.

引用

页码：733 / 747

页数：15

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